Answer:
20/3 pounds of coffee that costs $12 per pound and 40/3 pounds of coffee that costs $9 per pound are required
Step-by-step explanation:
Let x be the amount of coffee that costs $12 per pound
Cost of x amount of this type coffee = 12x
We are supposed to find How much of each should be used to produce 20 pounds of the new blend that costs $10 per pound
So, Amount of coffee required that costs $9 per pound = 20-x
Cost of (20-x) amount of this type of coffee = 9(20-x)
So, ![12x+9(20-x)=10(20)\\12x+180-9x=200\\3x=20\\x=\frac{20}{3}](https://tex.z-dn.net/?f=12x%2B9%2820-x%29%3D10%2820%29%5C%5C12x%2B180-9x%3D200%5C%5C3x%3D20%5C%5Cx%3D%5Cfrac%7B20%7D%7B3%7D)
Amount of coffee that costs $12 per pound required is![\frac{20}{3} pounds](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B3%7D%20pounds)
Amount of coffee that costs $9 per pound required = 20-x=![20-\frac{20}{3}=\frac{40}{3} pounds](https://tex.z-dn.net/?f=20-%5Cfrac%7B20%7D%7B3%7D%3D%5Cfrac%7B40%7D%7B3%7D%20pounds)
Hence 20/3 pounds of coffee that costs $12 per pound and 40/3 pounds of coffee that costs $9 per pound are required
A) Answer:
![- 44](https://tex.z-dn.net/?f=%20-%2044)
B) Answer:
![39](https://tex.z-dn.net/?f=39)
C) Answer:
![- 69](https://tex.z-dn.net/?f=%20-%2069)
D) Answer:
![- 27](https://tex.z-dn.net/?f=%20-%2027)
Sorry, I don't think the last one is an equation.
I think you didn't wrote the number that comes after that.
Answer:
Hi. 9/14 is a fraction already. Maybe you meant decimal?
Step-by-step explanation:
Answer:
C=5.831
a=30.964
b=59.036
Step-by-step explanation:
<em>Question:</em>
<em>Which of the following is NOT a formula for determining complementary probability?</em>
<em>A. P(outcome) = 1- P(-outcome)</em>
<em>B. P(outcome) - P(-outcome) = 1</em>
<em>C. P(outcome) + P(-outcome) =1</em>
<em>D. P(-outcome) = 1 - P(outcome)</em>
<em></em>
Answer:
![P(outcome) - P(-outcome) = 1](https://tex.z-dn.net/?f=P%28outcome%29%20-%20P%28-outcome%29%20%3D%201)
Step-by-step explanation:
Required
Determine which option is not a formula of complementary probabilities
From the list of given options, the complementary probabilities are P(outcome) and P(-outcome)
In probability;
--- Equation 1
Subtract P(outcome) from both sides
![P(outcome) - P(outcome) + P(outcome) = 1 - P(outcome)](https://tex.z-dn.net/?f=P%28outcome%29%20-%20P%28outcome%29%20%2B%20P%28outcome%29%20%3D%201%20-%20%20P%28outcome%29)
------ Equation 2
Subtract P(-outcome) from both sides of equation 1
![P(outcome) + P(-outcome) - P(-outcome) = 1 - P(-outcome)](https://tex.z-dn.net/?f=P%28outcome%29%20%2B%20P%28-outcome%29%20-%20P%28-outcome%29%20%3D%201%20-%20%20P%28-outcome%29)
![P(outcome) = 1 - P(-outcome)](https://tex.z-dn.net/?f=P%28outcome%29%20%20%3D%201%20-%20%20P%28-outcome%29)
Equation 1, 2 and 3 represents options A, C and D
While option B is out of place
<em>Hence, option B is not a formula of complementary probability</em>